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   <h4 class="subsectionHead"><span class="titlemark">4.4   </span> <a 
 id="x29-960004.4"></a>3D SUPG/PSGP Elements</h4>
<!--l. 2024--><p class="noindent" >
   <h5 class="subsubsectionHead"><span class="titlemark">4.4.1   </span> <a 
 id="x29-970004.4.1"></a>Tet1_3D_SUPG element</h5>
<!--l. 2026--><p class="noindent" >Represents 3D linear pyramid element for transient incompressible flow analysis using SUPG/PSPG stabilization with
equal order approximation of velocity and pressure fields. Each node has 3 degrees of freedoms (two components of
velocity and pressure). The element features are summarized in Table&#x00A0;<a 
href="#x29-9700264">64<!--tex4ht:ref: TET1SUPGsummary --></a>.
<!--l. 2031--><p class="indent" >   <hr class="figure"><div class="figure" 
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<a 
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<br /> <div class="caption" 
><span class="id">Figure&#x00A0;29: </span><span  
class="content">Tet1_3D_SUPG element.</span></div><!--tex4ht:label?: x29-9700129 -->
                                                                                           
                                                                                           
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<div class="center" 
>
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<div class="table">
<!--l. 2041--><p class="noindent" ><a 
 id="x29-9700264"></a><hr class="float"><div class="float" 
> <!--tex4ht:inline--><div class="tabular"> <table id="TBL-66" class="tabular" 
cellspacing="0" cellpadding="0" rules="groups" 
><colgroup id="TBL-66-1g"><col 
id="TBL-66-1"></colgroup><colgroup id="TBL-66-2g"><col 
id="TBL-66-2"></colgroup><tr 
class="hline"><td><hr></td><td><hr></td></tr><tr  
 style="vertical-align:baseline;" id="TBL-66-1-"><td  style="white-space:nowrap; text-align:left;" id="TBL-66-1-1"  
class="td11"><span 
class="cmbx-10">Keyword         </span></td><td  style="white-space:wrap; text-align:left;" id="TBL-66-1-2"  
class="td11"><!--l. 2041--><p class="noindent" ><span 
class="cmbx-10">TET1SUPG</span>                                                   </td>
</tr><tr  
 style="vertical-align:baseline;" id="TBL-66-2-"><td  style="white-space:nowrap; text-align:left;" id="TBL-66-2-1"  
class="td11">Description          </td><td  style="white-space:wrap; text-align:left;" id="TBL-66-2-2"  
class="td11"><!--l. 2041--><p class="noindent" >linear equal order approximation axisymmetric element    </td>
</tr><tr  
 style="vertical-align:baseline;" id="TBL-66-3-"><td  style="white-space:nowrap; text-align:left;" id="TBL-66-3-1"  
class="td11">Specific parameters</td><td  style="white-space:wrap; text-align:left;" id="TBL-66-3-2"  
class="td11"><!--l. 2041--><p class="noindent" >[<span 
class="cmtt-10">vof</span>&#x00A0;#<span 
class="cmr-5">(rn)</span>][<span 
class="cmtt-10">pvof</span>&#x00A0;#<span 
class="cmr-5">(rn)</span>]                                               </td>
</tr><tr 
class="hline"><td><hr></td><td><hr></td></tr><tr  
 style="vertical-align:baseline;" id="TBL-66-4-"><td  style="white-space:nowrap; text-align:left;" id="TBL-66-4-1"  
class="td11">Unknowns            </td><td  style="white-space:wrap; text-align:left;" id="TBL-66-4-2"  
class="td11"><!--l. 2042--><p class="noindent" >Three  velocity  components  (V_u,  V_v,  and  V_w)  and
pressure (P_f) are required in each node.                       </td>
</tr><tr  
 style="vertical-align:baseline;" id="TBL-66-5-"><td  style="white-space:nowrap; text-align:left;" id="TBL-66-5-1"  
class="td11">Approximation      </td><td  style="white-space:wrap; text-align:left;" id="TBL-66-5-2"  
class="td11"><!--l. 2043--><p class="noindent" >Linear approximation of velocity and pressure fields.        </td>
</tr><tr  
 style="vertical-align:baseline;" id="TBL-66-6-"><td  style="white-space:nowrap; text-align:left;" id="TBL-66-6-1"  
class="td11">Integration           </td><td  style="white-space:wrap; text-align:left;" id="TBL-66-6-2"  
class="td11"><!--l. 2044--><p class="noindent" >exact                                                                      </td>
</tr><tr  
 style="vertical-align:baseline;" id="TBL-66-7-"><td  style="white-space:nowrap; text-align:left;" id="TBL-66-7-1"  
class="td11">Loads                  </td><td  style="white-space:wrap; text-align:left;" id="TBL-66-7-2"  
class="td11"><!--l. 2046--><p class="noindent" >Constant  boundary  tractions  are  supported.  Body  loads
representing the self-weight load are supported.              </td>
</tr><tr  
 style="vertical-align:baseline;" id="TBL-66-8-"><td  style="white-space:nowrap; text-align:left;" id="TBL-66-8-1"  
class="td11">Multi-fluid analysis</td><td  style="white-space:wrap; text-align:left;" id="TBL-66-8-2"  
class="td11"><!--l. 2052--><p class="noindent" >The  element  has  support  for  solving  problems  with  two
immiscible fluids in a fixed spatial domain. In the present
implementation,  a  LevelSet  tracking  algorithm  is  used
to  track  the  position  of  interface.  The  material  model
should be of type <span 
class="cmbx-10">Keyword</span>:&#x00A0;<span 
class="cmtt-10">twofluidmat</span>, that supports
modelling of two immiscible fluids.                               </td>
</tr><tr  
 style="vertical-align:baseline;" id="TBL-66-9-"><td  style="white-space:nowrap; text-align:left;" id="TBL-66-9-1"  
class="td11">Status                 </td><td  style="white-space:wrap; text-align:left;" id="TBL-66-9-2"  
class="td11"><!--l. 2054--><p class="noindent" >                                                 </td></tr><tr  
 style="vertical-align:baseline;" id="TBL-66-10-"><td  style="white-space:nowrap; text-align:left;" id="TBL-66-10-1"  
class="td11"> </td>
</tr><tr 
class="hline"><td><hr></td><td><hr></td></tr><tr  
 style="vertical-align:baseline;" id="TBL-66-11-"><td  style="white-space:nowrap; text-align:left;" id="TBL-66-11-1"  
class="td11">                </td></tr></table></div>
<br /> <div class="caption" 
><span class="id">Table&#x00A0;64: </span><span  
class="content">TET1SUPG element summary</span></div><!--tex4ht:label?: x29-9700264 -->
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